%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM477+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:40:40 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 59 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 19 ~; 18 |; 13 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( W0 != sz00
=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
( xn != sz00
& doDivides0(xm,xn)
& ? [W0] :
( xn = sdtasdt0(xm,W0)
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
( sdtlseqdt0(xm,xn)
| ? [W0] :
( sdtpldt0(xm,W0) = xn
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [W0] :
( sdtpldt0(xm,W0) = xn
& aNaturalNumber0(W0) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f63,plain,
! [W0] :
( ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 )
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f64,plain,
! [X0] :
( sdtasdt0(X0,sz00) = sz00
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f114,plain,
! [W0,W1] :
( sdtlseqdt0(W1,sdtasdt0(W1,W0))
| W0 = sz00
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f115,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f138,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f140,plain,
( xn != sz00
& doDivides0(xm,xn)
& xn = sdtasdt0(xm,sK2_skl)
& aNaturalNumber0(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W0,sK2_skl)],[f36]) ).
fof(f141,plain,
aNaturalNumber0(sK2_skl),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
xn = sdtasdt0(xm,sK2_skl),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f144,plain,
xn != sz00,
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f145,plain,
( ~ sdtlseqdt0(xm,xn)
& ! [W0] :
( sdtpldt0(xm,W0) != xn
| ~ aNaturalNumber0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f147,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f294,plain,
( sdtlseqdt0(xm,xn)
| sK2_skl = sz00
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2_skl) ),
inference(paramodulation,[status(thm)],[f142,f115]) ).
fof(f301,plain,
( sdtlseqdt0(xm,xn)
| sK2_skl = sz00
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[f294,f141]) ).
fof(f302,plain,
( sdtlseqdt0(xm,xn)
| sK2_skl = sz00 ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f138]) ).
fof(f303,plain,
sK2_skl = sz00,
inference(resolution,[status(thm)],[f302,f147]) ).
fof(f315,plain,
xn = sdtasdt0(xm,sz00),
inference(backward_demodulation,[status(thm)],[f303,f142]) ).
fof(f317,plain,
( xn = sz00
| ~ aNaturalNumber0(xm) ),
inference(paramodulation,[status(thm)],[f315,f64]) ).
fof(f326,plain,
xn = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f317,f138]) ).
fof(f333,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f326,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM477+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 02:36:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.55 % Elapsed time: 0.151352 seconds
% 0.17/0.55 % CPU time: 0.637126 seconds
% 0.17/0.55 % Total memory used: 109.927 MB
% 0.17/0.55 % Net memory used: 109.242 MB
%------------------------------------------------------------------------------